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Asymptotic Formula for Solutions of l2-Perturbed Linear Delay Difference Systems

✍ Scribed by Shangbing Ai

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
185 KB
Volume
264
Category
Article
ISSN
0022-247X

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✦ Synopsis

The aim of this paper is to obtain an asymptotic formula for each solution of a l 2 -perturbed linear delay difference system. The results obtained here extend some earlier results for ordinary difference equations and are parallel to some recent results for delay differential equations.

πŸ“œ SIMILAR VOLUMES

Asymptotic Stability Condition for a Cla
Asymptotic Stability Condition for a Class of Linear Delay Difference Equations of Higher Order
✍ Ryuzou Ogita; Hideaki Matsunaga; Tadayuki Hara πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 102 KB

In this paper we obtain a necessary and sufficient condition for the asymptotic stability of the zero solution of the linear delay difference equation N x y x q p x s 0, n s 0, 1, 2, . . . , Ý nq 1 n n ykqŽ jy1.l js1 by using root-analysis for the characteristic equation. Here, p is a real number an